We present a new scalable approach for the K-staged twodimensional cutting stock problem with variable sheet size, particularly aiming to solve large-scale instances from industry. A construction heuristic exploiting the congruency of subpatterns efficiently computes sheet patterns of high quality. This heuristic is embedded in a beam-search framework to allow for a meaningful selection from th...

In general, tissues will deform in three dimensions during MR elastography (MRE). In order to reconstruct elastic modulus by an inverse method, 3 components of displacement must be acquired in order to establish a boundary value problem for numerical solution. Many investigators have assumed twodimensional plane-strain conditions to analyze MRE displacement data, but it has been noted that such...

In this paper, we address the problem of sparse multichannel seismic deconvolution. We introduce Multichannel Sparse Spike Inversion (MSSI) as an iterative procedure, which deconvolves the seismic data and recovers the earth twodimensional (2D) reflectivity image, while taking into consideration the relations between spatially-neighboring traces. We demonstrate the improved performance of the p...

We develop two closely-related fast and simple numerical algorithms to address the inverse problem of identifying a collection of disjoint linear cracks in a twodimensional homogeneous electrical conductor from exterior boundary voltage/current measurements. We allow the possibility that the cracks are partially conductive. Our approach also allows us to determine the actual number of cracks pr...

A two-dimensional word is a function on Z with finite number of values. The main problem we are interested in is periodicity of twodimensional words satisfying some local conditions. In this paper we prove that every bounded centered function on the infinite rectangular grid is periodic. A function is called centered if the sum of its values in every ball is equal to 0. Similar results are obta...

Process capability maturity modeling elaborated by the Software Engineering community became applicable for any process-oriented activity assessment and improvement. The purpose of this paper is to contribute to the solution of learning improvement problem based on process quality attributes modeling approach. Twodimensional Learning process model is developed based on R. Marzano taxonomy of le...

Magnetohydrodynamic mixing of two fluids in an annular microchannel is modelled as a twodimensional, laminar, convection-diffusion problem, and examined using asymptotic analysis and numerical simulation. The time T required for mixing of a plug of solute depends on the Peclét number Pe, and on the geometry of the annulus. Three scaling regimes are identified: purely diffusive, Taylordispersive...

In this paper the problem of a vision system implementation for autonomous flying agents is considered in the context of industrial inspection tasks performed by unmanned aerial vehicles. A syntactic algorithm of a two-dimensional object vectorization and recognition is proposed. An algorithm of twodimensional map recognition has been introduced as well. The algorithms have been tested by using...

We introduce a simple variational principle for coherent material vortices in twodimensional turbulence. Vortex boundaries are sought as closed stationary curves of the averaged Lagrangian strain. Solutions to this problem turn out to be mathematically equivalent to photon spheres around black holes in cosmology. The fluidic photon spheres satisfy explicit differential equations whose outermost...

As a first step toward a fully two-dimensional asymptotic theory for the bifurcation of solitons from infinitesimal continuous waves, an analytical theory is presented for line solitons, whose envelope varies only along one direction, in general two-dimensional periodic potentials. For this two-dimensional problem, it is no longer viable to rely on a certain recurrence relation for going beyond...